Finding the Roots of System of Nonlinear Equations by a Novel Filled Function Method | Zendy

Weixiang Wang | Zendy; Youlin Shang | Zendy; Weigang Sun | Zendy; Ying Zhang | Zendy

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Finding the Roots of System of Nonlinear Equations by a Novel Filled Function Method

Author(s) -

Weixiang Wang,

Youlin Shang,

Weigang Sun,

Ying Zhang

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/209083

Subject(s) - mathematics , nonlinear system , function (biology) , minification , mathematical optimization , global optimization , physics , quantum mechanics , evolutionary biology , biology

We present a novel filled function approach to solve box-constrained system of nonlinear equations. The system is first transformed into an equivalent nonsmooth global minimization problem, and then a new filled function method is proposed to solve this global optimization problem. Numerical experiments on several test problems are conducted and the computational results are also reported

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